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#faltings's_theorem

Faltings's theorem

Curves of genus > 1 over the rationals have only finitely many rational points

Faltings's theorem is a result in arithmetic geometry, according to which a curve of genus greater than 1 over the field of rational numbers has only finitely many rational points. This was conjectured in 1922 by Louis Mordell, and known as the Mordell conjecture until its 1983 proof by Gerd Faltings. The conjecture was later generalized by replacing by any number field.

Thu 19th

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Faltings's theorem Faltings' product theorem Gerd Faltings Fermat's Last Theorem Siegel's theorem on integral points List of theorems Mordell–Weil theorem Wiles's proof of Fermat's Last Theorem Diophantine geometry Faltings' annihilator theorem
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